A Generalization of Caristi’s Fixed Point Theorem in the Variable Exponent Weighted Formal Power Series Space

Journal of Function Spaces and Applications

article

Awad A. Bakery¹  M. H. El Dewaik³ 

[1] University of Jeddah, College of Science and Arts at Khulis, Department of Mathematics;Department of Mathematics, Faculty of Science, Ain Shams University;Department of Basic Science, The British University in Egypt

DOI  :  10.1155/2021/9919420

学科分类：外科医学

来源: Hindawi Publishing Corporation

【 摘 要 】

Suppose ðpnÞ be sequence of positive reals. By HwððpnÞÞ, we represent the space of all formal power series ∑∞ n=0anzn equipped with ∑∞ n=0jλan/ðn + 1Þjpn 0: Various topological and geometric behavior of HwððpnÞÞ and the prequasi ideal constructs by s-numbers and HwððpnÞÞ have been considered. The upper bounds for s-numbers of infinite series of the weighted n-th power forward shift operator on HwððpnÞÞ with applications to some entire functions are granted. Moreover, we investigate an extrapolation of Caristi’s fixed point theorem in HwððpnÞÞ.

【 授权许可】

CC BY